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Koch Snowflakes

by pmoews, published

Koch Snowflakes by pmoews Nov 12, 2012

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Koch Snowflakes by pmoews is licensed under the Creative Commons - Attribution license.

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Summary

Koch snowflakes are created by successively extending the sides of a triangle. I found a very nice description of the Koch method and a fortran program that was used to calculate all the examples given below at:

http://hmf.enseeiht.fr/travaux/CD9900/travaux/optmfn/hi/00pa/mfn16/part2.html

Enseeiht is a French engineering school in Tolouse and the author of the article is Alain Schuler.

Koch Snowflake by gadgetguydk, (thing:1039), is a composite of three stages of Koch iteration of a triangle and Koch curve/snowflake by Cross, (thing:3166), is an embroidered version. Koch_composite_color_1.stl and Koch_composite_color_2.stl, available below, is a two color version of the same composite for the Replicator.

Koch_three_snowflake.stl and Koch_four_snowflake.stl are monochrome examples of the Koch curve after 3 and 4 iterations of a triangle. The curves have been pierced with holes so that they can be hung as ornaments. The openSCAD programs that created the snowflakes are provided and they can be easily modified to create numerous variations.

Instructions

Koch_three_snowflake.stl and Koch_four_snowflake.stl can be printed on a raft or directly on the build platform.

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These are lovely. I printed the multipart one on a Replicator 2, but we just couldn't get the center pieces into the outside one and ended up breaking it. I will try again.

Yippee... Thx for the DXF ... cannot wait to try 'em out...
 

Added dxf files which were generated from the openSCAD code by omitting the extrude commands to give a 2d object - hope they
work

Any chance of also posting DXF files from your 3D program for us poor folk with a laser engraver....  ???  thx in advance

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